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Efficient Prediction Designs for Random Fields
optimal design pareto front empirical kriging gaussian process models
2013/6/14
For estimation and predictions of random fields it is increasingly acknowledged that the kriging variance may be a poor representative of true uncertainty. Experimental designs based on more elaborate...
Aggregation of autoregressive random fields and anisotropic long memory
Aggregation autoregressive random fields anisotropic long memory
2013/4/27
We introduce the notion of anisotropic long memory for random fields on $\mathbb{Z}^2$ whose partial sums on incommensurate rectangles with sides growing at different rates O(n) and $O(n^{H_1/H_2})$, ...
Adaptive estimation in regression and complexity of approximation of random fields
regression and complexity approximation random fields
2012/9/17
In this thesis we study adaptive nonparametric regression with noise misspecifi-cation and the complexity of approximation of random fields in dependence of the dimension.
First, we consider the prob...
Polar sets of anisotropic Gaussian random fields
Anisotropic Gaussian fields Hitting probabilities Polar sets Hausdorff dimension European option Jump diffusion Calibration
2012/9/18
This paper studies polar sets of anisotropic Gaussian random fields,i.e. sets which a Gaussian random field does not hit almost surely. The main assumptions are that the eigenvalues of the covariance ...
Detecting sparse cone alternatives for Gaussian random fields, with an application to fMRI
random elds Euler characteristic kinematic formulae volumes of tubes expansion order-restricted inference multivari-ate one-sided hypotheses non-negative least squares.
2012/9/19
Our problem is to nd a good approximation to the P-value of the maximum of a random eld of test statistics for a cone alternative at each point in a sample of Gaussian random elds. These test stati...
Generalized Interference Models in Doubly Stochastic Poisson Random Fields for Wideband Communications: the PNSC(alpha) model
Interference models Cox Process Doubly Stochastic Poisson Stable Process Isotropicα-stable Complexα-stable
2012/9/19
A general stochastic model is developed for the total interference in wideband systems, denoted as the PNSC(α) Interference Model. It allows one to obtain, analytic representations in situations where...
Loss-sensitive Training of Probabilistic Conditional Random Fields
Loss-sensitive Training Probabilistic Conditional Random Fields
2011/7/19
We consider the problem of training probabilistic conditional random fields (CRFs) in the context of a task where performance is measured using a specific loss function. While maximum likelihood is th...
Sharp oracle inequalities and slope heuristic for specification probabilities estimation in general random fields
Sharp oracle inequalities slope heuristic specification probabilities estimation
2011/7/5
We provide new methods for estimation of the one-point specification probabilities in general discrete random fields.
Some Theory for the Analysis of Random Fields——With Applications to Geostatistics
Some Theory Random Fields Applications to Geostatistics
2010/4/26
Ich erkl¨are ehrenw¨ortlich, dass ich die vorliegende Schrift verfasst und die
mit ihr unmittelbar verbundenen Arbeiten selbst durchgef¨uhrt habe. Die in
der Schrift verwendete Literatur sowie das A...
On the neighborhood radius estimation in Variable-neighborhood Markov Random Fields
Gibbs measures random lattice fields variable-neighborhood Markovrandom fields Markovian approximations Context algorithm consistent estimation
2010/3/11
We consider Markov Random Fields defined by finite-region conditional probabilities
depending on a neighborhood of the region which changes with the boundary conditions.
The formal definition of the...
ABC likelihood-free methods for model choice in Gibbs random fields
Approximate Bayesian Computation model choice Gibbs Random Fields Bayes factor protein folding
2009/9/24
Gibbs random fields (GRF) are polymorphous statistical models that can be used to analyse different types of dependence, in particular for spatially correlated data. However, when tho...
Sequential estimation in random fields。
Minimax sequential estimation based on random fields
Minimax sequential estimation random fields
2009/9/23
Minimax sequential estimation based on random fields。
Structure of Levy measures of stable random fields of Chentsov type
Structure of Levy measures stable random fields Chentsov type
2009/9/23
We study finite-dimensional distributions of symmetric
a-stable (abbreviated as SuS) random fields of Chentsov type,
0 < a < 2. We discuss a structure of the spherical components of Uvy
measures an...
Marcinkiewicz-type strong law of large numbers for pairwise independent random fields
Marcinhewin strong law d large numbers pairwise independent random variables random fields
2009/9/21
We present the Marcinkiewicz-type strong law of large
numbers for random fields {X,, n E Zd,) of pairwise independent random
variables, where Zd,, d & 1, is the set of positive d-dimensional
lattic...